hello again...
remember that an actual screenshot comparing the two would be useless except to compare visual sizes of the images with one another. on two models of the same size the 1920x1080 (16:9) will be wider horizontally and thinner vertically than a 1920x1200 (16:10) which will be thinner horizontally and wider vertically if measured in physical units.
also two pictures at native resolution would be scaled to fit your screen thereby distorting any results.
also you would be viewing images taken from the desktop which doesnt reflect upon quality at all of the screen. the screens could be a $99 budget model and a $999 pro model and you wouldnt tell the difference in this test.
a camera photo of the two screens side by side is also inconclusive as it just compares physical sizes. a ppi increase of 110 to 113 is not going to be noticible. even if it were you are restricted the the quality of the camera and ability of the photographer which greatly skews any results.
the only way to accurately judge image quality is to see the two monitors side by side in person.
if you want to judge pixels per inch on same sized monitors here is a little example.
for two monitors, both 20" diagonal:
16:9, 1920x1080. horizontal width 17.4316". approximate ppi 110.1448.
16:10, 1920x1200. horizontal width 16.9601". approximate ppi 113.2069.
as you can see there is a rise in overall ppi but as revolution stated it isn't much to brag about.
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what you should look at instead is what screen ratio suits you?
16:9 is perfect for movies and any prerendered 1080p content. any other content which is not rendered-on-demand will be letterboxed.
16:9 is okay for games but larger monitors seem to be prefered such as a 24" over a 20" due to the lack of vertical height.
16:9 is okay for office work but the vertical height can cause a few issues.
16:10 will be letterboxed for 1080p content.
16:10 is preferred by some for gaming but offers a slightly less wide field of view. i suppose it comes down to preferencess.
16:10 is better for office work due to the increased vertical space.
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feel free to state your purposes for comparing the two monitors and we can sure help out with some ideas. remember that ratio and pixels aren't the only thing to worry about. other things to think about are panel type, backlight, mount type, connection type, etc which we can discuss when you respond.